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Strange but true: seniors fear death less than running out of money in retirement.

Also, retirees who have constructed a nest egg have valid justifications to be concerned, since the traditional ways to plan for retirement may mean income can no longer cover expenses. Some retirees are now tapping their principal to make a decent living, pressed for time between decreasing investment balances and longer life expectancies.

In today's economic environment, traditional income investments are not working.

For example, 10-year Treasury bonds in the late 1990s offered a yield of around 6.50%, which translated to an income source you could count on. However, today's yield is much lower - currently under 2% and probably not a viable return option to fund typical retirements.

The effect of this drop in rates is substantial: over 20 years, the change in yield for a $1 million investment in 10-year Treasuries is over $1 million.

In addition to the considerable drop in bond yields, today's retirees are nervous about their future Social Security benefits. Because of certain demographic factors, it's been estimated that the funds that pay the Social Security benefits will run out of money in 2035.

Unfortunately, it looks like the two traditional sources of retirement income - bonds and Social Security - may not be able to adequately meet the needs of present and future retirees. But what if there was another option that could provide a steady, reliable source of income in retirement?

Invest in Dividend Stocks

Dividend-paying stocks from low-risk, high-quality companies are a smart way to generate steady and reliable attractive income streams to replace current low risk, low yielding Treasury and bond options.

For example, AT&T and Coca-Cola are income stocks with attractive dividend yields of 3% or better. Look for stocks like this that have paid steady, increasing dividends for years (or decades), and have not cut their dividends even during recessions.

One approach to recognizing appropriate stocks is to look for companies with an average dividend yield of 3% and positive average annual dividend growth. Numerous stocks hike dividends over time, counterbalancing inflation risks.

Here are three dividend-paying stocks retirees should consider for their nest egg portfolio.

CF Industries (CF) is currently shelling out a dividend of $0.3 per share, with a dividend yield of 3.05%. This compares to the Fertilizers industry's yield of 1.18% and the S&P 500's yield of 1.78%. In terms of dividend growth, the company's current annualized dividend of $1.2 is flat compared to last year.